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Discriminant Analysis by Hierarchical Coupling in EDDA Context

  • Isabel Brito
  • Gilles Celeux
Conference paper
Part of the Studies in Classification, Data Analysis, and Knowledge Organization book series (STUDIES CLASS)

Abstract

Friedman(1996) proposed a strategy for the classification multigroup problem. He build independently a classifier for each pair of classes and then combined all the pairwise decisions to form the final decision. We suggest an alternate approach in the context of EDDA models. Our technique, the hierarchical coupling, is also based on pairwise decisions but we abandon the independence and work on nested pairs of classes. We evaluate the performance of hierarchical coupling on simulated and real datasets.

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References

  1. BENSMAIL, H. and CELEUX, G. (1996): Regularized Gaussian Discriminant Analysis through Eigenvalue decomposition. Journal of the American Statistical Association, 91, 1743–48.Google Scholar
  2. FRIEDMAN, J. (1996): Another approach to polychotomous classification. Technical Report. Stanford University.Google Scholar
  3. HASTIE, T. and TIBSHIRANI, R. (1996): Classification by pairwise coupling. Technical Report. University of Toronto.Google Scholar

Copyright information

© Springer-Verlag Berlin · Heidelberg 2000

Authors and Affiliations

  • Isabel Brito
    • 1
    • 2
  • Gilles Celeux
    • 2
  1. 1.Department of MathematicsInstituto Superior de Economia e GestãoLisboaPortugal
  2. 2.Inria Rhône-AlpesMontbonnot St. MartinFrance

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